Question: Can anyone explain about this? There is answer for it, but I don't know how to get the answer. ForU=P(N), functionsa, b, c, d, e,

Can anyone explain about this? There is answer for it, but I don't know how to get the answer.

ForU=P(N), functionsa, b, c, d, e, f:U!Uare defined below. In each case decide whether the function is bijective, injective but not surjective, surjective but not injective, or neither injective nor surjective.

(a) bijectivie

(b) injective

(d) neither

(e) injective

(f) bijective

Can anyone explain about this? There is answer for it, but I

don't know how to get the answer. ForU=P(N), functionsa, b, c, d,

e, f:U!Uare defined below. In each case decide whether the function is

bijective, injective but not surjective, surjective but not injective, or neither injective

nor surjective.(a) bijectivie(b) injective(c) surjective(d) neither(e) injective(f) bijective a a : U

a a : U - U; a(X = XC.( b ) b : U -> U; b ( X ) = 2X = {2x : x(X].(c c : U - U; c(X) = X = { [; ] : xEX).(d) d : U - U; d(X) = XV{1}.(e) e : U - U; e( X) = X1= {atl: xEX).f f :U - U; f(X) = XA

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